Non-Monotonic Lyapunov-Krasovskii Functional Approach to Stability Analysis and Stabilization of Discrete Time-Delay Systems  

作　　者：Younes Solgi Alireza Fatehi Ala Shariati 

机构地区：[1]Advanced Process Automation and Control Research Group,Industrial Control Center of Excellence,Faculty of Electrical Engineering,K.N.Toosi University of Technology,Tehran 16317-14191,Iran [2]IEEE

出　　处：《IEEE/CAA Journal of Automatica Sinica》2020年第3期752-763,共12页自动化学报（英文版）

摘　　要：In this paper, a novel non-monotonic Lyapunov-Krasovskii functional approach is proposed to deal with the stability analysis and stabilization problem of linear discrete time-delay systems. This technique is utilized to relax the monotonic requirement of the Lyapunov-Krasovskii theorem. In this regard, the Lyapunov-Krasovskii functional is allowed to increase in a few steps, while being forced to be overall decreasing. As a result, it relays on a larger class of Lyapunov-Krasovskii functionals to provide stability of a state-delay system. To this end, using the non-monotonic Lyapunov-Krasovskii theorem, new sufficient conditions are derived regarding linear matrix inequalities(LMIs)to study the global asymptotic stability of state-delay systems.Moreover, new stabilization conditions are also proposed for time-delay systems in this article. Both simulation and experimental results on a p H neutralizing process are provided to demonstrate the efficacy of the proposed method.

关 键 词：Linear matrix inequality(LMI) non-monotonic LYAPUNOV-KRASOVSKII functional(NMLKF) pH NEUTRALIZATION plant STABILIZATION STATE-DELAY SYSTEM time-delay SYSTEM 

分 类 号：O231[理学—运筹学与控制论]